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Warm Up

This lesson covers evaluating expressions, warm-up exercises, guided practice, and a quiz on mathematical expressions and powers. It includes examples, solutions, and guided practice questions.

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Warm Up

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  1. Evaluate Expressions Warm Up Lesson Presentation Lesson Quiz

  2. 1. 12 1.5 8 ANSWER 2. 3.3 7 23.1 ANSWER Warm-Up Perform the indicated operation.

  3. 5.7 ANSWER 2 5 4. Julia ran 10 miles last week and 8 miles this week. How many more miles did she run last week? 6 3 5 1 mi ANSWER 6 Warm-Up Perform the indicated operation. 3. 11.6 – 5.9

  4. a.13n= 133 9 b. 3 9 n Example 1 Evaluate the expression when n =3. Substitute 3 for n. = 39 Multiply. = Substitute 3 for n. = 3 Divide. c.n–1= 3–1 Substitute 3 for n. = 2 Subtract. d.n+8= 3 + 8 Substitute 3 for n. = 11 Add.

  5. 2. 8 y Guided Practice Evaluate the expression when y =2. ANSWERS 1. 12 1.6y 2. 4 3. 6 3.y+4 4. 9 4.11–y

  6. Example 2 Movies The total cost of seeing a movie at a theater can be represented by the expression a + rwhere ais the cost (in dollars) of admission and ris the cost (in dollars) of refreshments. Suppose you pay $7.50 for admission and $7.25 for refreshments. Find the total cost.

  7. ANSWER The total cost is $14.75 Example 2 SOLUTION a +r Total cost= Write expression. Substitute7.50 foraand 7.25for r. = 7.50 + 7.25 = 14.75 Add.

  8. ANSWER The total cost is $9.50. Guided Practice WHAT IF? In Example 2, suppose you go back to the theater with a friend to see an afternoon movie. You pay for both admissions.Your total cost (in dollars) can be represented by the expression 2a. If each admission costs $4.75, what is your total cost?

  9. Power Words Product 1 1 1 1 3 5 5 2 2 2 2 c. z z z z z Example 3 Write the power in words and as a product. seven to the first power a. 71 7 b. 52 five to the second power, or five squared one half to the third power,or one half cubed d. z5 zto the fifth power

  10. Power Words Product 9 9 99 9 2 2 22 2 2 2 2 8. n4 nnnn Guided Practice Write the power in words and as a product. Nine to the fifth power 6. 95 7. 28 Two to the eighth power n to the fourth power

  11. =2 2 2 2 Example 4 Evaluate the expression. a. x4 whenx = 2 b. n3 whenn = 1.5 SOLUTION a. x4 = 24 b.n3 =1.53 = (1.5)(1.5)(1.5) = 3.375 = 16

  12. 11. d4 whend = 1 11. 3 1 81 Guided Practice Evaluate the expression. ANSWERS 9. x3 whenx = 8 9. 512 10. k3 whenk = 2.5 10. 6.25

  13. s3 V = Example 5 Storage cubes Each edge of the medium-sized pop-up storage cube shown is14 inches long. The storage cube is made so that it can be folded flat when not in use. Find the volume of the storage cube. SOLUTION Write formula for volume. = 143 Substitute 14 for s. = 2744 Evaluate power. The volume of the storage cube is 2744 cubic inches.

  14. ANSWER The area of square is 196 in2. Guided Practice WHAT IF? In Example 5, suppose the storage cube is folded flat to form a square. Find the area of the square.

  15. 3 4. 1 ANSWER 27 91 ANSWER 1 3 ANSWER 0.9 ANSWER 625 Lesson Quiz Evaluate the expression or power. 1. 13gwheng = 7 2. 1.65– a when a = 0.75 3.54

  16. Emily is saving for a $300 bicycle. She has saved $128.25. The amountshe still needs to save is given by the expression c – s, where c is the cost of the bicycle and s is the amount she has saved. How much does she have left to save? 5. ANSWER $171.75 Lesson Quiz

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